题目内容
【题目】化简下列各式
(1)a+[2a﹣2﹣(4﹣2a)]
(2)x﹣(2x﹣y2)+(﹣)
(3)3x2+[2x﹣(﹣5x2+4x)+2]﹣1
(4)(﹣3ax2﹣ax+3)﹣(﹣ax2﹣ax﹣1)
【答案】(1)5a﹣6;(2)y2﹣3x;(3)8x2﹣2x+1;(4)ax+2.
【解析】
试题分析:(1)先去小括号,再去中括号,然后合并同类项即可;
(2)先去括号,再合并同类项即可;
(3)先去小括号,再去中括号,然后合并同类项即可;
(4)先去括号,再合并同类项即可.
解:(1)a+[2a﹣2﹣(4﹣2a)]
=a+[2a﹣2﹣4+2a]
=a+2a﹣2﹣4+2a
=5a﹣6;
(2)x﹣(2x﹣y2)+(﹣)
=x﹣2x+y2﹣
=y2﹣3x;
(3)3x2+[2x﹣(﹣5x2+4x)+2]﹣1
=3x2+[2x+5x2﹣4x+2]﹣1
=3x2+2x+5x2﹣4x+2﹣1
=8x2﹣2x+1;
(4)(﹣3ax2﹣ax+3)﹣(﹣ax2﹣ax﹣1)
=﹣ax2﹣ax+1+ax2+ax+1
=ax+2.
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